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True or false the angle

True or false the angle-example-1

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Answer:

Second option: False

Explanation:

You need to use the following identity:


sin\alpha=(opposite)/(hypotenuse)

Let be "x" the lenght of the buildings's shadow.


opposite=x (Lenght of building's shadow)

You can observe in the figure that:


\alpha=75\°\\\\hypotenuse=50ft

Substitute these values into
sin\alpha=(opposite)/(hypotenuse) and solve for ""x":


sin(75\°)=(x)/(50)\\\\(50)(sin(75\°))=x\\\\x=48.29\°

Therefore, the length of its shadow IS NOT 12.94 feet.

User Kambala
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